simplify (4-v(3))^(2)

Question

a. 9
b. 19-8√(3)
c. 16-2√(3)+√(9)
d. 13-8√(3)

Answer 1

 ( 4 - √3 )²

 

   Here there is a binomial raised 2 2nd power:

 

    ( 4 - √3 ) ( 4 -√3) = 

 

     Have to distribute it twice:

 

    ( 4 - √3 ) 4 - √3 ( 4 - √3 ) =

 

    16 - 4 √3 - 4√3 + 3 =

 

     19 - 8√3 

    Answer b is correct.